RBSE Solutions for Class 9 Maths Chapter 8 Construction of Triangles Ex 8.5 is part of RBSE Solutions for Class 9 Maths. Here we have given Rajasthan Board RBSE Class 9 Maths Solutions Chapter 8 Construction of Triangles Ex 8.5.

Board |
RBSE |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 8 |

Chapter Name |
Construction of Triangles |

Exercise |
Ex 8.5 |

Number of Questions Solved |
3 |

Category |
RBSE Solutions |

## Rajasthan Board RBSE Class 9 Maths Solutions Chapter 8 Construction of Triangles Ex 8.5

Question 1.

Construct a ∆XYZ where ∠XYZ = 60°, XY = 5 cm and XZ = 4.5 cm. How (RBSESolutions.com) many such triangles are possible?

Solution.

Steps of construction:

- Draw a straight line YA.

- With Y as centre, draw an ∠BYA = 60°.
- Taking Y as centre, draw an arc of radius 5 cm which cuts the ray BY at X.
- By taking X as centre, draw an arc of radius 4.5 cm which cuts the base line YA at Z.
- Join XZ.

Hence, required triangle XYZ is obtained.

In this case, only one triangle is possible.

Question 2.

Construct a ∆PQR where ∠PQR = 45°, PQ = 6 cm and PR = 5 cm.

Solution.

Steps of construction:

- Draw PQ = 6 cm as base line.
- At Q, draw an angle of 45° with the (RBSESolutions.com) help of ruler and compass.

- With centre P, take an arc of radius 5 cm which cuts the angle line and mark it as R.

Question 3.

Construct ∆ABC where a = 5.4 cm, b = 6.8 cm and ∠A = 45°. Can two triangles be drawn in this case?

Solution.

Steps of construction:

- Draw a straight line AX.
- Draw an angle of 45° at A i. e., ∠XAY = 45°.
- By taking A as centre, cut an arc of radius 6.8 cm which intersects AY at C.
- Now with centre C, draw an arc of radius 5.4 cm which (RBSESolutions.com) cuts the base line AX at B and B’.

- Join B and B’ to C.
- Hence ∆AB’C and ∆ABC are the required triangles.

Yes, in this case we can draw triangles.

We hope the given RBSE Solutions for Class 9 Maths Chapter 8 Construction of Triangles Ex 8.5 will help you. If you have any query regarding RBSE Rajasthan Board Solutions for Class 9 Maths Chapter 8 Construction of Triangles Ex 8.5, drop a comment below and we will get back to you at the earliest.